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In this paper, we investigate multifield models in which the two-field BNRTmodel [7,8] is coupled to a third field through mediator functions in theLagrangian density. To conduct the investigation, we obtain the equations ofmotion and develop a first-order formalism based on energy minimization. Twopossibilities are considered: i) the third field acting in the mediatorfunctions to modify the BNRT solutions; ii) the BNRT fields feeding themediator function to produce effects in the kink solution of the third field.In the case i), the results show that the solutions may be related to thestandard ones with the coordinate redefined in terms of the mediator functionsif they are equal. This allows to induce effects similar to geometricconstrictions in the core, or to compactify the tail of the BNRT solutions. Ifthe mediator functions differ one from another, we show that the effects aredistinct, with the compactification of just one of the two-field solutions. Inthe case ii), the orbit parameter of the model plays an important role,modifying the mediator function that induces changes in the profile of the kinkassociated to the third field.

Geometrically constrained multifield models with BNRT solutions